Exact sequences and the combinatorics of conformal models

TL;DR

This paper explores the algebraic structure of 2D conformal models by analyzing the relationships between their centers using exact sequences of abelian groups, revealing a long exact sequence among higher central quotients.

Contribution

It introduces a novel application of exact sequences to describe the mutual relations of centers in the deconstruction lattice of conformal models.

Findings

Established a long exact sequence connecting centers of higher central quotients.

Provided a new algebraic framework for understanding conformal model structures.

Abstract

We investigate the mutual relations between the centers of different elements in the deconstruction lattice of a 2D conformal model, and show how these can be described using exact sequences of abelian groups. In particular, we exhibit a long exact sequence connecting the centers of higher central quotients.